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Finding the Fourth Proportional to 6,403.56, 9,592.35 and 3,624.38

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Solution

The fourth proportional to 6,403.56, 9,592.35 and 3,624.38 is: 5,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.56 : 9,592.35 = 3,624.38 : x
  2. Step 2: Convert to fraction form
    6,403.56/9,592.35 = 3,624.38/x
  3. Step 3: Cross multiply
    6,403.56x = 9,592.35 × 3,624.38
  4. Step 4: Simplify right side
    6,403.56x = 34,766,321.49
  5. Step 5: Solve for x
    x = 34,766,321.49/6,403.56
  6. Step 6: Final answer
    x = 5,429.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.